Answer:
Step-by-step explanation:
Alright, lets get started.
When two secants intersects outside a circle then the measure of the angle formed is half of the positive difference of the measures of the intercepted arcs. (Please refer the diagram I have attached)
Hence the measure of ∠1 is :
∠1=
∠1=
hence the answer is 35°. : Answer
Hope it will help :)
Using a proportional relationship, we have that:
- a) The constant of proportionality is of 0.625, hence the equation is:
.
- b) The distance of two cities that are 5 miles apart is of 8 kilometers.
- c) When they are 200 kilometers apart, we have that the distance in miles is of
.
<h3>What is a proportional relationship?</h3>
- A <em>proportional relationship</em> is a function in which the <u>output variable is given by the input variable multiplied by a constant of proportionality</u>, that is:.

- In which k is the constant of proportionality.
Item a:
From the graph, when x = 8, y = 5, hence:




The constant of proportionality is of 0.625, hence the equation is:
.
Item b:
From the graph, when y = 5, x = 8, hence:
- The distance of two cities that are 5 miles apart is of 8 kilometers.
Item c:
When they are 200 kilometers apart, we have that the distance in miles is of
.
You can learn more about proportional relationship at brainly.com/question/13550871
Answer:
3x² + 3x - 36=
(3x+12)(x-3)
x² - 3x - 28=
(x+4)(x-7)
Step-by-step explanation:
For both equations use the method called the "Cross Method". It is useful for these type of factorisation questions called "Trinomials".
For more info on the cross method.
Here it is:
https://www.mathsteacher.com.au/year10/ch10_factorisation/05_cross_mult_method/cross.htm
Hope you enjoyed :D
The mathematical sentance would be, 740 - 14 = 726, hope this helps.:D
Answer:
The time required by both persons to complete the work T = 1.458 hours
Step-by-step explanation:
Given data
Time required by Joe to clear a lot
= 2.5 hours
Time required by his partner to clear a lot
= 2.5 hours
Time required by both persons to complete the work by working together


T = 1.458 hours
Therefore the time required by both persons to complete the work T = 1.458 hours